A compact embedding provided by the relation \(\mathfrak {h}[f]\ge C_{2} \Vert f\Vert _{\mathfrak {H}_{+}} \ge C_{2}/C_{0}\Vert f\Vert _{\mathfrak {H}},\,f\in \mathrm {D}(\mathfrak {h})\)  proves that \(R_{H}\)  is compact (see proof of Theorem 4 [1]}) and as a result of the application of Theorem 3.3 [2]}, we get \(R_{\tilde{W}}\)  is compact. Thus the claim of Theorem 4 [1]} remains true regarding the operators \(R_{H},\,R_{\tilde{W}}.\)
